For compact curved lines and the parabola, the paper determines sharp Lp-in to Lq-out ranges for Fourier extension estimates on a strip and on Radon slices, with one unresolved boundary segment in the parabola strip case.
Asymptotic behavior ofLp estimates for a class of multipliers with homogeneous unimodular symbols
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Fourier extension estimates on a strip in $\mathbb{R}^2$
For compact curved lines and the parabola, the paper determines sharp Lp-in to Lq-out ranges for Fourier extension estimates on a strip and on Radon slices, with one unresolved boundary segment in the parabola strip case.